I have absolutely no desire to delve into the history of the other chicks on my ship beyond Lym, the question is about the mechanics, for the first mission I did all the activities with Lym and skipped a few days then started activities with other girls and when I finished them the mission jumped in, it was different for the second mission where after doing all the activities with Lym and some (even though I still had others to do) with those pesky chicks the main mission jumped out.
So how does it work? Is there a time (days) between missions or is getting to the destination dependent on completing the actions with the girls on ship?